12177023040 has 672 divisors, whose sum is σ = 52189562880. Its totient is φ = 2537422848.

The previous prime is 12177023011. The next prime is 12177023077. The reversal of 12177023040 is 4032077121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 12177022995 and 12177023013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25421521 + ... + 25421999.

It is an arithmetic number, because the mean of its divisors is an integer number (77663040).

Almost surely, 2^12177023040 is an apocalyptic number.

12177023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12177023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26094781440).

12177023040 is an abundant number, since it is smaller than the sum of its proper divisors (40012539840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12177023040 is a wasteful number, since it uses less digits than its factorization.

12177023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 12177023040 in words is "twelve billion, one hundred seventy-seven million, twenty-three thousand, forty".